Discrete tori and trigonometric sums

DOI10.1007/S12220-022-01051-6zbMath1502.60117OpenAlexW4296844542MaRDI QIDQ2082309

Yong Lin, Alexander Grigor'yan, Shing Tung Yau

Publication date: 4 October 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-022-01051-6

zbMATH Keywords

Markov chainheat kerneltrace formulatrigonometric sumdiscrete torus

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Trigonometric and exponential sums (general theory) (11L03) Transition functions, generators and resolvents (60J35) Random walks on graphs (05C81)

Cites Work

• Lower bounds for the eigenvalues of negatively curved manifolds
• Heat kernel estimates and lower bound of eigenvalues
• Heat kernel upper bounds on a complete non-compact manifold
• Introduction to Analysis on Graphs
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